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Extensional Maps
(2014-05-09)
In a recent paper, Ziga Virk defined a type of continuous map which preserves extension properties. We generalize this notion and call such maps extensional maps. In this paper we will establish many of the basic properties ...
Some sharp inequalities related to Moser-Tridinger-Onofri inequality
(2014-05)
In this dissertation, we focus on the study of sharp inequalities of Moser-
Trudinger-Onofri type. We first establish the analog Bliss and Hardy inequal-
ities with sharp constant involving exponential weight function. ...
Some Types And Covers For Quaternionic Hermitian Groups
(2014-08-15)
In this dissertation we determine the reducibility of certain induced representations. We do this using Bushnell and Kutzko's method of types and covers. We consider certain quaternionic hermitian groups over a $p$-adic ...
COMPLEX P-LAPLACIAN ON KAHLER MANIFOLDS AND ITS APPLICATIONS
(2014-12)
From a geometric point of view, we use coordinates as the main tool to define the holomorphic gradient, the antiholomorphic gradient, and the complex gradient of a complex-valued function on Kahler manifolds. Then we define ...
Calculus Instructors' Resources, Orientations, and Goals in Teaching Low-Achieving Students
(2014-05-09)
Teaching and learning calculus has been the subject of mathematics education research for many years. Although the literature is mainly concerned with students’ difficulties with calculus, research on mathematicians’ day ...
Some Classes of Jacobi Matrices and Schrödinger Operators
(2014)
This dissertation addresses two classes of Jacobi matrices and Schrödinger operators. First, we consider Jacobi matrices and Schrödinger operators that are reflectionless on an interval. We give a systematic development ...
Complexity of Modules over Lie Superalgebras
(2014)
In this dissertation, a fair amount of work is dedicated to computing the complexity of modules over a classical Lie superalgebra $\fg=\fg_{\0}\oplus \fg_{\1}$ over the complex numbers $\C$. We will consider the category ...
Classification, Cobordism, and Curvature of Four-Dimensional Infra-Solvmanifolds
(2014)
Crystallographic groups of solvable Lie groups generalize the crystallographic groups of Euclidean space. The quotient of a solvable Lie group G by the action of a torsion-free crystallographic group of G is an infra-solvmanifold ...